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Finding the Fourth Proportional to 614.28, 923.34 and 534.12

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Solution

The fourth proportional to 614.28, 923.34 and 534.12 is: 802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.28 : 923.34 = 534.12 : x
  2. Step 2: Convert to fraction form
    614.28/923.34 = 534.12/x
  3. Step 3: Cross multiply
    614.28x = 923.34 × 534.12
  4. Step 4: Simplify right side
    614.28x = 493,174.36
  5. Step 5: Solve for x
    x = 493,174.36/614.28
  6. Step 6: Final answer
    x = 802.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.